Show that, when the rod falls over, the reaction of the hinge upon the rod is vertical when the rod makes an angle 48 o 11' with the vertical, and is horizontal when the rod makes an angle 70 o 31' wi...Show that, when the rod falls over, the reaction of the hinge upon the rod is vertical when the rod makes an angle 48 o 11' with the vertical, and is horizontal when the rod makes an angle 70 o 31' with the vertical. Ignoring the small difference between the coefficients of moving and limiting static friction, show that at a point on the subsequent trajectory where the tangent to the trajectory makes an angle ψ with the x-axis, the speed V is given by